4 papers · 1 filter
On the construction of geographical maps: Lagrange, Chebyshev, Darboux and Milnor
Hideki Miyachi, Ken'Ichi Ohshika, Athanase Papadopoulos
Lagrange, Chebyshev, and Darboux, in 1779, 1856, and 1911, respectively, wrote articles all bearing the same title, \emph{On the Construction of Geographical Maps}. In 1969, Milnor…
Convergence-Symmetric Metric Spaces
Ismail Saglam, Ken'Ichi Ohshika, Athanase Papadopoulos +1
We study some basic properties of spaces which satisfy the usual axioms of a metric space but without the symmetry axiom. We realised that such a study is needed in view of the rel…
The combinatorial structure of the unit tangent spheres and cotangent spheres of Teichm{ü}ller space with Thurston's Finsler metric
Ken'Ichi Ohshika, Athanase Papadopoulos
We prove several new results on the combinatorial structures of the unit spheres of the norms induced by Thurston's metric on the tangent and cotangent spaces of the Teichm{ü}ller…
On the Lambert conformal conical projection and the general map of the Russian Empire
Hideki Miyachi, Ken'Ichi Ohshika, Athanase Papadopoulos +1
The problem of drawing geographical maps is the one of mapping a subset of the sphere, representing a country or some other region on the surface of the Earth, into the Euclidean p…